Ascience test, which is worth 100 points, consists of 24 questions. each question is worth either 3 points or 5 points. if x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100

Let the value of 3-points questions be x.
The value of 5-point questions be y.
x + y = 24
Then x = 24 - y which makes 3x + 5y = 100
3(24 - y) + 5y = 100
72 - 3y + 5y = 100
Lets get the ys together, 72(-3y + 5y)  = 100
72 + 2y = 100
The value of y = (100 - 72) = 2y
2y = 28
y = 14.
If y is equal to 14, what about x?
x = 24 - y
x = 24 - y
x = 24 - 14
x = 10.
The value of 3-points questions is 10, and the value of 5 points questions is 14.

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